Section 2.1 Homework

Navigation » List of Schools, Subjects, and Courses » Math 261 – Calculus I » Homeworks » Section 2.1 Homework

With Answers Good news! We are showing you only an excerpt of our suggested answer to this question. Should you need our help in customizing an answer to this question, feel free to send us an email at or chat with our customer service representative.

Question

Section 2.1 Homework

1. Consider the parabola

y = 5 x - x^{2}

(a) Find the slope of the tangent line to the parabola at the point (1, 4).
(b) Find an equation of the tangent line in part (a).
y =
(c) Graph the parabola and the tangent line.

2. Consider the curve

y = x - x^{3}

(a) Find the slope of the tangent line to the curve at the point (1, 0).
(b) Find an equation of the tangent line in part (a).
y =

3. Find an equation of the tangent line to the curve at the given point.

$y = x^{3} - 3 x + 2, (3, 20)$

4. Find an equation of the tangent line to the curve at the given point.

$y = \sqrt{x}, (25, 5)$

5. If f(x) =

9 x^{2} - x^{3}, f i n d f ‘ (1) a n d u s e i t t o f i n d a n e q u a t i o n o f t h e \tan g e n t l i n e t o t h e c u r v e y = 9 x^{2} - x^{3} a t t h e p o i n t (1, 8)

Section 2.1 Homework

Section 2.1 Homework

Need help with your discussion preparation?